A cart-pendulum system is shown below. The cart and the pendulum have the same mass of m and connected by a massless rig

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A cart-pendulum system is shown below. The cart and the pendulum have the same mass of m and connected by a massless rig

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A Cart Pendulum System Is Shown Below The Cart And The Pendulum Have The Same Mass Of M And Connected By A Massless Rig 1
A Cart Pendulum System Is Shown Below The Cart And The Pendulum Have The Same Mass Of M And Connected By A Massless Rig 1 (101.74 KiB) Viewed 30 times
A cart-pendulum system is shown below. The cart and the pendulum have the same mass of m and connected by a massless rigid bar of length 1. Two springs are of same stiffness k and k = mg/1. (a) Establish the equation motion of the system using two generalized coordinates u, (For the study of small vibration, substitute sin 0 and cos 1 into the obtained EOM.); (b) Find its natural frequencies, modal vectors and modal matrix; (c) The cart is at rest. If the cart is hit by an impulse I, find the response of the system. k 18(t) m ● U k m X
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